Viewfinder optics with zero power doublet

ABSTRACT

A chromatically neutral viewfinder optical system of positive forward and rearward elements and including therebetween a substantially zero power doublet which neutralizes chromatic errors generated by the positive elements.

This invention relates to an optical system for the viewfinder of an optical instrument providing for a high quality viewing image with a relatively small number of elements.

Optical systems for viewfinders of optical instruments such as cameras are well known. Generally, viewfinders providing high quality images are available only on the more expensive optical instruments, in which the added cost of the more complex optical systems is less apparent. Particularly, the viewfinder optical systems of more expensive instruments often include 10 to 14 optical elements. Obviously, the larger the number of elements, the more costly is the particular system. Hence, to justify the significant increase in cost to provide the higher quality design, other components of the instrument or optical system must likewise be upgraded adding further to the total cost of the instrument.

Other designs of viewfinder optical systems have been provided with relatively few elements, and hence relatively low cost. However, these optical system designs have inherent deficiencies which provide satisfactory, although lower quality images. Even though the remaining optical components may be of high quality, the image is degraded substantially to the extent of the least effective design component.

A relatively low cost viewfinder optical system providing a high quality image is described hereinafter. The system incorporates all positive plastic elements plus a substantially zero power doublet which corrects for chromatic aberrations. In a preferred embodiment, four positive elements are used, plus the doublet. The resulting image quality is deemed to be comparable to that of viewfinder systems having 12-16 elements. The zero power doublet is a hyperchromatic component which introduces a chromatic aberration opposite to the chromatic aberration of the remainder of the optical system. This effect reduces the number of elements required for comparable correction in a more conventional optical design. That is, in known system designs, chromatic aberration is corrected by selecting different optical materials of varying dispersions and making selected elements of these optical materials of opposite powers, i.e. positive and negative elements. Alternatively, the optical materials may be either glass or plastic, and the resulting doublet may have the elements in contact one with the other or the elements may be slightly air-spaced. However, by using the substantially zero power doublet to correct the chromatic aberration, the additional pairs of positive and negative elements are avoided, enabling the use in addition to the doublet, of all positive elements while obtaining a high quality image with relatively low cost optics.

Other objects and advantages of the invention will become apparent from the detailed description which follows when taken in conjunction with the accompanying drawings in which:

FIG. 1 is a diagrammatic sectional view of a preferred optical system according to the present invention; and

FIGS. 2a to 2h are graphical representations of the various aberrations of the optical system shown in FIG. 1 and having the design data given in Table 1.

FIG. 3 is a diagrammatic sectional view of another embodiment of an optical system according to the present invention;

FIGS. 4a to 4h are graphical representations of the various aberrations of the optical system shown in FIG. 3 and also having the design data of Table 1;

FIG. 5 is a diagrammatic sectional view of still another embodiment of an optical system according to the present invention;

FIGS. 6a to 6h are graphical representations of the various aberrations of the optical system shown in FIG. 5 and having the design data of Table 2;

FIG. 7 is a diagrammatic sectional view of yet another embodiment of an optical system according to the present invention; and

FIGS. 8a to 8h are graphical representations of the various aberrations of the optical system shown in FIG. 7 and having the design data of Table 3.

As seen in FIGS. 1, 3, 5, and 7 an optical system is shown for use as a viewfinder of an optical instrument such as a camera. The arrangement of the elements, configured as hereinafter described, provides for a positive image of a scene being viewed. The image is highly corrected and is essentially chromatically neutral. Primarily, the optical system is intended for a reflex viewing system in which the light rays from a scene enter by a main optical system or at least the zoom portion of a variable focal length objective lens of a camera. The light rays pass through the objective lens which functions as a relay component, and by known reflecting or semi-reflecting components, the image is relayed from the objective lens to the viewfinder optics.

Beyond the image reflecting component, such as a peek-in-mirror, the optical system, in addition to the doublet, may have four or five elements, some of which may have aspheric surfaces. In the embodiment shown in FIG. 1, the first element L₁, with an aspheric surface, projects the image to a forward set of elements, being respectively a field lens L₂ and a first erector lens L₃. The doublet of elements L₄ and L₅ receives the light rays and images same on the rearward set of elements, being respectively a second erector lens L₆ and an eyepiece lens L₇. Each of the elements are molded of plastic material, such as methyl methacrylate.

Between the forward and rearward sets of elements, and located substantially at the position of the aperture stop of the system is a substantially zero power doublet, which may be formed of glass or other optical material, such as the aforementioned or other plastic material. As the light rays exit from the first erector lens element, L₃, of the forward set of elements, a degree of chromatic aberration is introduced. In that the zero power doublet is selected to provide a reverse or opposing chromatic aberration for the elements in the forward and rearward sets of elements, chromatic aberration introduced in the system by the positive elements of the first set is overcorrected for. As the light rays emerge from the zero power doublet, and enter the rearward set of elements, correction of the remaining chromatic aberration is made, as the latter elements serve to return to neutral the correction required.

Within the optical system, the elements are spaced such that the light rays form an image at an image plane between the objective lens L₁ and the field lens L₂. The aperture stop of the system is between the first erector L₃ and the second erector lens L₆ and an eyepiece lens L₇. The eyepiece lens L₇ is supported in an adjustable member (not shown) to permit required adjustments to accommodate for variations due to the eyes of particular users. By a selected construction of the eyepiece lens support, the user's eye is maintained a minimum distance away from the eyepiece lens for efficient imaging of the scene as seen through the forward portion of the main optical system, which scene image is correspondingly imaged by the prime lens (not shown) of the optical instrument.

The optical values for the optical system of FIG. 1 are as follows:

                  TABLE 1                                                          ______________________________________                                         Dimensions in Inches                                                           Lens Radii       Thickness  Spacing N.sub.D                                                                             V                                     ______________________________________                                         L.sub.1                                                                             R.sub.1 =*R(1)                                                                             T.sub.1 =.1200     1.490                                                                               57.4                                       R.sub.2 =.6940                                                                                        S.sub.1 =1.4220                                    L.sub.2                                                                             R.sub.3 =2.8570                                                                            T.sub.2 =.1400     1.518                                                                               59.0                                       R.sub.4 =1.6140                                                                                       S.sub.2 =.4500                                     L.sub.3                                                                             R.sub.5 =.8320                                                                             T.sub.3 =.1700     1.490                                                                               57.4                                       R.sub.6 =*R(2)                                                                                        S.sub.3 =.6773                                     L.sub.4                                                                             R.sub.7 =4.7230                                                                            T.sub.4 =.0300     1.720                                                                               29.3                                       R.sub.8 =-0.1898                                                                                      S.sub.4 =0                                         L.sub.5                                                                             R.sub.9 =.1898                                                                             T.sub.5 =.1000     1.691                                                                               54.8                                       R.sub.10 =INF                                                                                         S.sub.5 =.4430                                     L.sub.6                                                                             R.sub.11 =*R(3)                                                                            T.sub.6 =.2000     1.490                                                                               57.4                                       R.sub.12 =.5896                                                                                       S.sub.6 =1.3840                                    L.sub.7                                                                             R.sub.13 =.7000                                                                            T.sub.7 =.1850     1.490                                                                               57.4                                       R.sub.14 =*R(4)                                                           ______________________________________                                    

In all of the tables, the first column lists the lens elements of the viewfinder lens system numerically starting at the ray entrance side of the system. The second column lists the respective radii and the vertex radii of the aspheric surfaces *R₁, *R₂, *R₃, and *R₄ et cetera. In all of the tables the positive and negative signs giving the respective radii follow the "lensmaker's convention", to facilitate fabrication of the individual lens elements, wherein convex surfaces are positive and concave surfaces are negative. The aspheric term is derived by the formula

    Z.sub.1 = (K(H.sup.2 -Z.sub.o.sup.2)+(AH.sup.4 +BH.sup.6 +CH.sup.8 +OH.sup.10))/(2(1-KZ.sub.o))

In the formula, constants are:

    __________________________________________________________________________     Aspheric Radius                                                                          K    A       B        C                                              __________________________________________________________________________     *R(1) 2.23564                                                                           0.44730                                                                             -0.50000                                                                                0.14405×10.sup.1                                                                 -41 10.sup.1                                    *R(2) 1.08050                                                                           0.92550                                                                             -0.85000                                                                               0.17000×10.sup.1                                                                   0.30000×10.sup.1                         *R(3) 0.78125                                                                           1.28000                                                                             -0.90000                                                                               -0.85000×10.sup.1                                  *R(4) 0.81433                                                                           1.22800                                                                             -0.16500×10.sup.1                                                                 0.84000×10.sup.1                                                                 -0.35000×10.sup.2                         __________________________________________________________________________

where 1/K is the vertex radius of the curvature of the surface of the element; H is the Cartesian coordinate of a point on the surface referred in a vertical axis; Z is the Cartesian coordinate of a point on the surface referred in a horizontal axis. The third column lists the thicknesses of the respective elements. The fourth column lists the axial spacings between the respective elements and the minimum spacing to the user's eye. The fourth and fifth columns list the respective refractive indices (N_(D)) and dispersive indices (V) of the elements.

FIGS. 2a to 2h graphically represent various aberrations related to the viewfinder optical system as shown in FIG. 1 and having the design data recited in Table 1. FIG. 2a represents axial chromatic correction of three typical wavelengths forming rays on axis and lateral. FIG. 2b represents off axis aberrations of a ray passing from the zone of the film format and through the lens transversely and tangentially. FIG. 2c represents the aberrations of the rays passing from the corner of the film format through the lens tangentially and transversely. FIG. 2d represents the radial or longitudinal aberration from the zone of the film format of rays entering the lens at 3 o'clock, while FIG. 2e represents similar aberrations from full field or corner rays. FIG. 2f represents distortion as a percentage of a "perfect" image. FIG. 2g represents the spherical aberration by a full line and the offense-against-sine-condition by the dotted line. FIG. 2h represents the curvature of field with tangential curvature being shown in full line and sagittal curvature being shown in dashed line.

The optical values for the optical system of FIG. 3 are quite similar to those set forth with respect to FIG. 1, and are defined with respect to the values in the optical system of FIG. 1 - Table 1. The resulting optical corrections and aberrations are similar to the optical characteristics set forth in the graphs of FIGS. 4a to 4h.

The values for the optical system of FIG. 5 are set forth below in Table 2 with the values corresponding to those as defined with respect to the values in the optical system of FIG. 1 - Table 1. The substantially chromatically zero power doublet in this system is shown to have the components thereof slightly air spaced one from another.

                  TABLE 2                                                          ______________________________________                                         dimensions in Inches                                                           Lens Radii       Thickness  Spacing N.sub.D                                                                             V                                     ______________________________________                                         L.sub.1                                                                             R.sub.1 =*R(1)                                                                             T.sub.1 =.1200     1.490                                                                               57.4                                       R.sub.2 =.6940                                                                                        S.sub.1 =1.4220                                    L.sub.2                                                                             R.sub.3 =2.8570                                                                            T.sub.2 =.1400     1.518                                                                               59.0                                       R.sub.4 =1.6140                                                                                       S.sub.2 =.4500                                     L.sub.3                                                                             R.sub.5 =.8320                                                                             T.sub.3 =.1700     1.490                                                                               57.4                                       R.sub.6 =*R(2)                                                                                        S.sub.3 =.6673                                     L.sub.4                                                                             R.sub.7 =*R(3)                                                                             T.sub.4 =.1100     1.490                                                                               57.4                                       R.sub.8 =.1820                                                                                        S.sub.4 =.0050                                     L.sub.5                                                                             R.sub.9 =-.1820                                                                            T.sub.5 =.0300     1.592                                                                               30.4                                       R.sub.10 =-1.2821                                                                                     S.sub.5 =.4430                                     L.sub.6                                                                             R.sub.11 =*R(4)                                                                            T.sub.6 =.2000     1.490                                                                               57.4                                       R.sub.12 =.5896                                                                                       S.sub.6 =1.4840                                    L.sub.7                                                                             R.sub.13 =.7000                                                                            T.sub.7 =.1850     1.490                                                                               57.4                                       R.sub.14 =*R(5)                                                           ______________________________________                                    

In the aspheric formula for the optical system of Table 2, the constants are:

    __________________________________________________________________________     Aspheric Radius                                                                          K    A       B        C                                              __________________________________________________________________________     *R(1) 2.23564                                                                           0.44730                                                                             -0.50000                                                                                0.14405×10.sup.1                                                                 -0.10000×10.sup.1                         *R(2) 1.08050                                                                           0.92550                                                                             -0.85000                                                                               0.17000×10.sup.1                                                                   0.30000×♭10.sup.1             *R(3 0.57143                                                                            1.75000                                                                              0.29312×10.sup.1                                          R*(4) 0.78125                                                                           1.28000                                                                             -0.90000                                                                               -0.85000×10.sup.1                                  *R(5) 0.81433                                                                           1.22800                                                                             -0.16500×10.sup.1                                                                 0.84000×10.sup.1                                                                 -0.35000×10.sup.2                         __________________________________________________________________________

FIGS. 4a to 4h are graphs representative of the various aberrations for the optical system in FIG. 3, the graphs being defined as set forth with respect to FIGS. 2a to 2h.

For the optical system of FIG. 7, the values corresponding to those defined in the optical system of FIG. 1 - Table 1 are:

                  TABLE 3                                                          ______________________________________                                         Dimensions in Inches                                                           Lens Radii       Thickness  Spacing N.sub.D                                                                             V                                     ______________________________________                                         L.sub.1                                                                             R.sub.1 =*R(1)                                                                             T.sub.1 =.1200     1.490                                                                               57.4                                       R.sub.2 =*R(2)                                                                                        S.sub.1 =1.4020                                    L.sub.2                                                                             R.sub.3 =*R(3)                                                                             T.sub.2 =.1200     1.490                                                                               57.4                                       R.sub.4 =*R(4)                                                                                        S.sub.2 =.7520                                     L.sub.3                                                                             R.sub.5 =5.0000                                                                            T.sub.3 =.0300     1.592                                                                               30.4                                       R.sub.6 =-.1763                                                                                       S.sub.3 =0                                         L.sub.4                                                                             R.sub.7 =.1763                                                                             T.sub.4 =.1000     1.490                                                                               57.4                                       R.sub.8 =*R(5)                                                                                        S.sub.4 =.7500                                     L.sub.5                                                                             R.sub.9 =*R(6)                                                                             T.sub.5 =.1100     1.490                                                                               57.4                                       R.sub.10 =*R(7)                                                                                       S.sub.5 =1.6555                                    L.sub.6                                                                             R.sub.11 =*R(8)                                                                            T.sub.6 =.1100     1.490                                                                               57.4                                       R.sub.12 =*R(9)                                                           ______________________________________                                    

In the aspheric formula for the optical system of Table 3, the constants are:

    __________________________________________________________________________     Aspheric Radius                                                                          K    A       B        C                                              __________________________________________________________________________     *R(1) 0.60870                                                                           1.64284                                                                             -0.10000×10.sup.1                                          *R(2) 0.60671                                                                           1.64824                                                                             -0.10000×10.sup.1                                          *R(3) 0.80700                                                                           1.23916                                                                             -0.40500                                                         *R(4) 0.80700                                                                           1.23916                                                                             -0.40500                                                         *R(5) 1.11474                                                                           0.89707                                                                              0.49350×10.sup.1                                                                -0.21500×10.sup.3                                                                 0.13000×10.sup.5                          *R(6) 0.96446                                                                           1.03685                                                                             -0.20000                                                         *R(7) 0.96446                                                                           1.03685                                                                             -0.20000                                                         *R(8) 0.70700                                                                           1.41443                                                                             -0.67500                                                         *R(9) 0.70700                                                                           1.41443                                                                             -0.67500                                                         __________________________________________________________________________

FIGS. 6a to 6h are graphs representative of the various aberrations for the optical system in FIG. 5, the graphs being defined as set forth with respect to FIGS. 2a to 2h.

For the optical system of FIG. 7, the values corresponding to those defined in the optical system of FIG. 1 - Table 1 are:

                  TABLE 4                                                          ______________________________________                                         Dimensions in Inches                                                           Lens Radii       Thickness  Spacing N.sub.D                                                                             V                                     ______________________________________                                         L.sub.1                                                                             R.sub.1 =*R(1)                                                                             T.sub.1 =.1200     1.490                                                                               57.4                                       R.sub.2 =*R(2)                                                                                        S.sub.1 =1.4020                                    L.sub.2                                                                             R.sub.3 =*R(3)                                                                             T.sub.2 =.1200     1.490                                                                               57.4                                       R.sub.4 =*R(4)                                                                                        S.sub.2 =.7520                                     L.sub.3                                                                             R.sub.5 =4.7230                                                                            T.sub.3 =.0300     1.720                                                                               29.3                                       R.sub.6 =.1898                                                                                        S.sub.3 =0                                         L.sub.4                                                                             R.sub.7 =.1898                                                                             T.sub.4 =.1000     1.691                                                                               54.8                                       R.sub.8 =INF                                                                                          S.sub.4 =.7500                                     L.sub.5                                                                             R.sub.9 =*R(5)                                                                             T.sub.5 =.1100     1.490                                                                               57.4                                       R.sub.10 =*R(6)                                                                                       S.sub.5 =1.6555                                    L.sub.6                                                                             R.sub.11 =*R(7)                                                                            T.sub.6 =.1100     1.490                                                                               57.4                                       R.sub.12 =*R(8)                                                           ______________________________________                                    

In the aspheric formula for the optical system of Table 4, the constants are:

    ______________________________________                                         Aspheric Radius                                                                               K            A                                                  ______________________________________                                         *R(1) 0.60870 1.64284      -0.10000×10.sup.1                             *R(2) 0.60671 1.64824      -0.10000×10.sup.1                             *R(3) 0.80700 1.23916      -0.40500                                            *R(4) 0.80700 1.23916      -0.40500                                            *R(5) 0.96446 1.03685      -0.20000                                            *R(6) 0.96446 1.03685      -0.20000                                            *R(7) 0.70700 1.41443      -0.67500                                            *R(8) 0.70700 1.41443      -0.674500                                           ______________________________________                                    

FIGS. 8a to 8h are graphs representative of the various aberrations for the optical system in FIG. 7, the graphs being defined as set forth with respect to FIGS. 2a to 2h.

Optical values of another optical system are set forth below in Table 5. Since the optical layouts are substantially the same as those shown in FIG. 7, additional layouts are considered unnecessary. Also since the aberrations are quite similar in class and degree, additional graphs are deemed to be excessive.

                  TABLE 5                                                          ______________________________________                                         Dimensions in Inches                                                           Lens Radii       Thickness  Spacing N.sub.D                                                                             V                                     ______________________________________                                         L.sub.1                                                                             R.sub.1 =*R(1)                                                                             T.sub.1 =.1200     1.490                                                                               57.4                                       R.sub.2 =*R(2)                                                                                        S.sub.1 =1.4020                                    L.sub.2                                                                             R.sub.3 =*R(3)                                                                             T.sub.2 =.1200     1.490                                                                               57.4                                       R.sub.4 =*R(4)                                                                                        S.sub.2 =.7520                                     L.sub.3                                                                             R.sub.5 =5.0000                                                                            T.sub.3 =.0300     1.592                                                                               30.4                                       R.sub.6 =0.1763                                                                                       S.sub.3 =.0050                                     L.sub.4                                                                             R.sub.7 =.1763                                                                             T.sub.4 =.1000     1.490                                                                               57.4                                       R.sub.8 =*R(5)                                                                                        S.sub.4 =.7500                                     L.sub.5                                                                             R.sub.9 =*R(6)                                                                             T.sub.5 =.1100     1.490                                                                               57.4                                       R.sub.10 =*R(7)                                                                                       S.sub.5 =1.6555                                    L.sub.6                                                                             R.sub.11 =*R(8)                                                                            T.sub.6 =.1100     1.490                                                                               57.4                                       R.sub.12 =*R(9)                                                           ______________________________________                                    

In the aspheric formula for the optical system of Table 5, the constants are:

    __________________________________________________________________________     Aspheric Radius                                                                          K    A       B        C                                              __________________________________________________________________________     *R(1) 0.60870                                                                           1,64284                                                                             -0.10000×10.sup.1                                          *R(2) 0.60671                                                                           1.64824                                                                             -0.10000×10.sup.1                                          *R(3) 0.80700                                                                           1.23916                                                                             -0.40500                                                         *R(4) 0.80700                                                                           1.23916                                                                             -0.40500                                                         *R(5) 1.26582                                                                           0.79000                                                                              0.49350×10.sup.1                                                                -0.21500×10.sup.3                                                                 -0.77000×10.sup.5                         *R(6) 0.96446                                                                           1.03685                                                                             -0.20000                                                         *R(7) 0.96446                                                                           1.03685                                                                             -0.20000                                                         *R(8) 0.70700                                                                           1.41443                                                                             -0.67500                                                         *R(9) 0.70700                                                                           1.41443                                                                             -0.67500                                                         __________________________________________________________________________ 

What is claimed is:
 1. An optical system of a chromatically neutral viewfinder system, the system having:an aperture stop; positive elements spaced forward of said aperture stop; positive elements spaced rearward of said forward elements and said aperture stop, the rearward elements including an eyepiece element; and every one of the elements forwardly and rearwardly of said aperture stop having convex surfaces, no element forwardly or rearwardly of said aperture stop having a concave surface, a hyperchromatic component which includes a chromatic aberration opposite to the chromatic aberration generated by said positive elements, the component being interposed along the optical axis substantially at the position of said aperture stop between said positive forward elements and said positive rearward elements whereby said component chromatically neutralizes the image.
 2. An optical system of a chromatically neutral viewfinder system incorporating a substantially zero power doublet located near the position of an aperture stop in the system, the system having substantially the following specifications:

    ______________________________________                                         Dimensions in Inches                                                           Lens Radii       Thickness  Spacing N.sub.D                                                                             V                                     ______________________________________                                         L.sub.1                                                                             R.sub.1 =*R(1)                                                                             T.sub.1 =.1200     1.490                                                                               57.4                                       R.sub.2 =.6940                                                                                        S.sub.1 =1.4220                                    L.sub.2                                                                             R.sub.3 =2.8570                                                                            T.sub.2 =.1400     1.518                                                                               59.0                                       R.sub.4 =1.6140                                                                                       S.sub.2 =.4500                                     L.sub.3                                                                             R.sub.5 =.8320                                                                             T.sub.3 =.1700     1.490                                                                               57.4                                       R.sub.6 =*R(2)                                                                                        S.sub.3 =.6773                                     L.sub.4                                                                             R.sub.7 =4.7230                                                                            T.sub.4 =.0300     1.720                                                                               29.3                                       R.sub.8 =-0.1898                                                                                      S.sub.4 =0                                         L.sub.5                                                                             R.sub.9 =.1898                                                                             T.sub.5 =.1000     1.691                                                                               54.8                                       R.sub.10 =INF                                                                                         S.sub.5 =.4430                                     L.sub.6                                                                             R.sub.11 =*R(3)                                                                            T.sub.6 =.2000     1.490                                                                               57.4                                       R.sub.12 =.5896                                                                                       S.sub.6 =1.3840                                    L.sub.7                                                                             R.sub.13 =.7000                                                                            T.sub.7 =.1850     1.490                                                                               57.4                                       R.sub.14 =*R(4)                                                           ______________________________________                                    

wherein the first column lists the lens elements numerically starting at the ray entrance side of the system, the second column lists the respective radii and vertex radii of the aspheric surfaces *R(1) to *R(4), using the convention that the negative (-) values of the radii indicating surfaces which are concave and the positive (+) values of the radii indicating surfaces which are convex; and the third column lists the thicknesses T₁ to T₇ of the respective elements; the fourth column lists the axial spacings S₁ to S₆ between the respective elements, and the fifth and sixth columns list respectively the refractive index N_(D) and the dispersive index V of the respective elements.
 3. An optical system of a chromatically neutral viewfinder system incorporating a substantially zero power doublet located near the position of an aperture stop in the system, the system having substantially the following specifications:

    ______________________________________                                         Dimensions in Inches                                                           Lens Radii       Thickness  Spacing N.sub.D                                                                             V                                     ______________________________________                                         L.sub.1                                                                             R.sub.1 =*R(1)                                                                             T.sub.1 =.1200     1.490                                                                               57.4                                       R.sub.2 =.6940                                                                                        S.sub.1 =1.4220                                    L.sub.2                                                                             R.sub.3 =2.8570                                                                            T.sub.2 =.1400     1.518                                                                               59.0                                       R.sub.4 =1.6140                                                                                       S.sub.2 =.4500                                     L.sub.3                                                                             R.sub.5 =.8320                                                                             T.sub.3 =.1700     1.490                                                                               57.4                                       R.sub.6 =*R(2)                                                                                        S.sub.3 =.6673                                     L.sub.4                                                                             R.sub.7 =*R(3)                                                                             T.sub.4 =.1100     1.490                                                                               57.4                                       R.sub.8 =.1820                                                                                        S.sub.4 =.0050                                     L.sub.5                                                                             R.sub.9 =.1820                                                                             T.sub.5 =.0300     1.592                                                                               30.4                                       R.sub.10 =-1.2821                                                                                     S.sub.5 =.4430                                     L.sub.6                                                                             R.sub.11 =*R(4)                                                                            T.sub.6 =.2000     1.490                                                                               57.4                                       R.sub.12 =.5896                                                                                       S.sub.6 =1.4840                                    L.sub.7                                                                             R.sub.13 =.7000                                                                            T.sub.7 =.1850     1.490                                                                               57.4                                       R.sub.14 =*R(5)                                                           ______________________________________                                    

wherein the first column lists the lens elements numerically starting at the ray entrance side of the system, the second column lists the respective radii and vertex radii of the aspheric surfaces *R(1) to *R(5), using the convention that the negative (-) values of the radii indicating surfaces which are concave and the positive (+) values of the radii indicating surfaces which are convex; the third column lists the thicknesses T₁ to T₇ of the respective elements; the fourth column lists the axial spacings S₁ to S₆ between the respective elements, and the fifth and sixth columns lists respectively the refractive index N_(D) and the dispersive index V of the respective elements.
 4. An optical system of a chromatically neutral viewfinder system incorporating a substantially zero power doublet located near the position of an aperture stop in the system, the system having substantially the following specifications:

    ______________________________________                                         Dimensions in Inches                                                           Lens Radii       Thickness  Spacing N.sub.D                                                                             V                                     ______________________________________                                         L.sub.1                                                                             R.sub.1 =*R(1)                                                                             T.sub.1 =.1200     1.490                                                                               57.4                                       R.sub.2 =*R(2)                                                                                        S.sub.1 =1.4020                                    L.sub.2                                                                             R.sub.3 =*R(3)                                                                             T.sub.2 =.1200     1.490                                                                               57.4                                       R.sub.4 =*R(4)                                                                                        S.sub.2 =.7520                                     L.sub.3                                                                             R.sub.5 =5.0000                                                                            T.sub.3 =.0300     1.592                                                                               30.4                                       R.sub.6 =-.1763                                                                                       S.sub.3 =0                                         L.sub.4                                                                             R.sub.7 =.1763                                                                             T.sub.4 =.1000     1.490                                                                               57.4                                       R.sub.8 =*R(5)                                                                                        S.sub.4 =.7500                                     L.sub.5                                                                             R.sub.9 =*R(6)                                                                             T.sub.5 =.1100     1.490                                                                               57.4                                       R.sub.10 =*R(7)                                                                                       S.sub.5 =1.6555                                    L.sub.6                                                                             R.sub.11 =*R(8)                                                                            T.sub.6 =.1100     1.490                                                                               57.4                                       R.sub.12 =*R(9)                                                           ______________________________________                                    

wherein the first column lists the lens elements numerically starting at the ray entrance side of the system, the second column lists the respective radii and vertex radii of the aspheric surfaces *R(1) to *R(9), using the convention that the negative (-) values of the radii indicating surfaces which are concave and the positive (+) values of the radii indicating surfaces which are convex; the third column lists the thicknesses T₁ to T₆ of the respective elements; the fourth column lists the axial spacings S₁ to S₅ between the respective elements, and the fifth and sixth columns list respectively the refractive index N_(D) and the dispersive index V of the respective elements.
 5. An optical system of a chromatically neutral viewfinder system incorporating a substantially zero power doublet located near the position of an aperture stop in the system, the system having substantially the following specifications:

    ______________________________________                                         Dimensions in Inches                                                           Lens Radii       Thickness  Spacing N.sub.D                                                                             V                                     ______________________________________                                         L.sub.1                                                                             R.sub.1 =*R(1)                                                                             T.sub.1 =.1200     1.490                                                                               57.4                                       R.sub.2 =*R(2)                                                                                        S.sub.1 =1.4020                                    L.sub.2                                                                             R.sub.3 =*R(3)                                                                             T.sub.2 =.1200     1.490                                                                               57.4                                       R.sub.4 =*R(4)                                                                                        S.sub.2 =.7520                                     L.sub.3                                                                             R.sub.5 =4.7230                                                                            T.sub.3 =.0300     1.720                                                                               29.3                                       R.sub.6 =-.1898                                                                                       S.sub.3 =0                                         L.sub.4                                                                             R.sub.7 =.1898                                                                             T.sub.4 =.1000     1.691                                                                               54.8                                       R.sub.8 =INF                                                                                          S.sub.4 =.7500                                     L.sub.5                                                                             R.sub.9 =*R(5)                                                                             T.sub.5 =.1100     1.490                                                                               57.4                                       R.sub.10 =*R(6)                                                                                       S.sub.5 =1.6555                                    L.sub.6                                                                             R.sub.11 =*R(7)                                                                            T.sub.6 =.1100     1.490                                                                               57.4                                       R.sub.12 =*R(8)                                                           ______________________________________                                    

wherein the first column lists the lens elements numerically starting at the ray entrance side of the system, the second column lists the respective radii and vertex radii of the aspheric surfaces *R(1) to *R(8), using the convention that the negative (-) values of the radii indicating surfaces which are concave and the positive (+) values of the radii indicating surfaces which are convex; the third column lists the thicknesses T₁ to T₆ of the respective elements; the fourth column lists the axial spacings S₁ to S₅ between the respective elements, and the fifth and sixth columns list respectively the refractive index N_(D) and the dispersive index V of the respective elements.
 6. An optical system of a chromatically neutral viewfinder system incorporating a substantially zero power doublet located near the position of an aperture stop in the system, the system having substantially the following specifications:

    ______________________________________                                         Dimensions in Inches                                                           Lens Radii       Thickness  Spacing N.sub.D                                                                             V                                     ______________________________________                                         L.sub.1                                                                             R.sub.1 =*R(1)                                                                             T.sub.1 =.1200     1.490                                                                               57.4                                       R.sub.2 =*R(2)                                                                                        S.sub.1 =1.4020                                    L.sub.2                                                                             R.sub.3 =*R(3)                                                                             T.sub.2 =.1200     1.490                                                                               57.4                                       R.sub.4 =*R(4)                                                                                        S.sub.2 =.7520                                     L.sub.3                                                                             R.sub.5 =5.0000                                                                            T.sub.3 =.0300     1.592                                                                               30.4                                       R.sub.6 =0.1763                                                                                       S.sub.3 =.0050                                     L.sub.4                                                                             R.sub.7 =.1763                                                                             T.sub.4 =.1000     1.490                                                                               57.4                                       R.sub.8 =*R(5)                                                                                        S.sub.4 =.7500                                     L.sub.5                                                                             R.sub.9 =*R(6)                                                                             T.sub.5 =.1100     1.490                                                                               57.4                                       R.sub.10 =*R(7)                                                                                       S.sub.5 =1.6555                                    L.sub.6                                                                             R.sub.11 =*R(8)                                                                            T.sub.6 =.1100     1.490                                                                               57.4                                       R.sub.12 =*R(9)                                                           ______________________________________                                    

wherein the first column lists the lens elements numerically starting at the ray entrance side of the system, the second column lists the respective radii and vertex radii of the aspheric surfaces *R(1) to *R(9), using the convention that the negative (-) values of the radii indicating surfaces which are concave and the positive (+) values of the radii indicating surfaces which are convex; the third column lists the thicknesses T₁ to T₆ of the respective elements; the fourth column lists the axial spacings S₁ to S₅ between the respective elements, and the fifth and sixth columns list respectively the refractive index N_(D) and the dispersive index V of the respective elements. 